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Simplifying 0.5x + -3.5 = 3x + 6.5 Reorder the terms: -3.5 + 0.5x = 3x + 6.5 Reorder the terms: -3.5 + 0.5x = 6.5 + 3x Solving -3.5 + 0.5x = 6.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3.5 + 0.5x + -3x = 6.5 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -3.5 + -2.5x = 6.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3.5 + -2.5x = 6.5 + 0 -3.5 + -2.5x = 6.5 Add '3.5' to each side of the equation. -3.5 + 3.5 + -2.5x = 6.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -2.5x = 6.5 + 3.5 -2.5x = 6.5 + 3.5 Combine like terms: 6.5 + 3.5 = 10 -2.5x = 10 Divide each side by '-2.5'. x = -4 Simplifying x = -4
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